| 一类Birkhoff型2-周期三角和仿三角插值(英文) |
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| 引用本文： | 金国祥,张丽,丁勇.一类Birkhoff型2-周期三角和仿三角插值(英文)[J].数学理论与应用,2010(4):29-32. |
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| 作者姓名： | 金国祥 张丽 丁勇 |
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| 作者单位： | [1]武汉工程大学智能机器人湖北省重点实验室,武汉430073 [2]武汉工程大学计算机科学与工程学院,武汉430073 |
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| 基金项目： | Project supported by the Key Project Scientific Research Foundation from the Education Department of Hubei Province of China（Grant No.D20101506） |
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| 摘 要： | 本文讨论了2π周期和反周期函数在等距结点上的一类Birkhoff型2-周期三角和仿三角插值问题,给出了此问题有解的充要条件,并构造出插值基。
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| 关 键 词： | 仿三角多项式 Birkhoff型三角插值 Birkhoff型仿三角插值 反2π周期函数 2-周期 |
On a Kind of Birkhoff Type 2-periodic Trigonometric and Paratrigonometric Interpolation |
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| Jin Guoxiang,Zhang Li,Ding Yong.On a Kind of Birkhoff Type 2-periodic Trigonometric and Paratrigonometric Interpolation[J].Mathematical Theory and Applications,2010(4):29-32. |
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| Authors: | Jin Guoxiang Zhang Li Ding Yong |
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| Institution: | 1.Hubei Province Key Laboratory of Intelligent Robot,Wuhan Institute of Technology,Wuhan,430073)(2.School of Computer Science ＆ Engineering,Wuhan Institute of Technology,Wuhan,430073) |
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| Abstract: | In this paper,a kind of Birkhoff type 2-periodic trigonometric and paratrigonometric interpolation problems with equidistant nodes for 2π-periodic and antiperiodic functions are discussed.We give the necessary and sufficient conditions for the solvable case of these interpolation problems.The expressions of the interpolation basis are constructed. |
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| Keywords: | Paratrigonometric polynomial Birkhoff type trigonometric interpolation Birkhoff type paratrigonometric interpolation 2π-antiperiodic functions 2-periodic |
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